1728467642944 has 189 divisors, whose sum is σ = 4241494432539. Its totient is φ = 696692183040.

The previous prime is 1728467642921. The next prime is 1728467642969. The reversal of 1728467642944 is 4492467648271.

The square root of 1728467642944 is 1314712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 105677006400 + 1622790636544 = 325080^2 + 1273888^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1251605134 + ... + 1251606514.

Almost surely, 2^{1728467642944} is an apocalyptic number.

1728467642944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1728467642944 is the 1314712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728467642944

1728467642944 is an abundant number, since it is smaller than the sum of its proper divisors (2513026789595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1728467642944 is an frugal number, since it uses more digits than its factorization.

1728467642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 1407 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 64.

Multiplying 1728467642944 by its sum of digits (64), we get a square (110621929148416 = 10517696²).

1728467642944 divided by its sum of digits (64) gives a square (27007306921 = 164339²).

The spelling of 1728467642944 in words is "one trillion, seven hundred twenty-eight billion, four hundred sixty-seven million, six hundred forty-two thousand, nine hundred forty-four".